4.06 Exponential and Logarithmic Functions Exam : Urgent Assignments

1. The function Imported Asset is an example of an exponential function.

		TRUE
		FALSE

2. The function f(x) = 6^x is an example of an exponential function.

		TRUE
		FALSE

3. The function f(x) = logx is a logarithmic function.

		TRUE
		FALSE

4. The function f(x) = 10^x is a logarithmic function.

		TRUE
		FALSE

5. Write log₈y = x as an exponential function.

6. Write 5^x = 40 as a logarithmic function.

7 log₉81 = 2 rewritten in exponential form is 9² = 81.

		TRUE
		FALSE

8. Rewrite log₃81 = 4 in exponential form.


		3⁴ = 81
		4³ = 81

9. Evaluate 7 raised to the log base 7 of 4

10. Write 1 – 3log₅x as a single logarithm.

11. The following is the graph of f(x) = 3^x.

graph through the points (negative 1, one-fourth), (0, 1), (1, 4) and has a horizontal asymptote at y = 0

		TRUE
		FALSE

12. The “h” value moves the graph up or down.

		TRUE
		FALSE

13. What is the transformation that occurs to the equation y = 2^x if it changes to y = 2^{x – 8}?

		The graph moves 8 units to the right.
		The graph moves 8 units to the left.
		The graph moves 8 units up.
		The graph moves 8 units down.

14. What is the equation of the following graph?

graph through the points (negative 3, one-half), (negative 2, 1), (negative 1, 2) and has a horizontal asymptote at y = 0

f(x) = 2^{x + 2}

f(x) = 2^{x – 2}

f(x) = 2^x – 2

f(x) = 2^x + 2

15. The following is the graph of f(x) = 4^x. graph through the points (negative 1, one-fourth), (0, 1), (1, 4) and has a horizontal asymptote at y = 0

		TRUE
		FALSE

16. What is the domain of the function f(x) = 2^{x – 7} + 2?

		All Real Numbers
		x > 0
		x < 0
		x > 1

17. What is the domain for the function f(x) = 2^{x + 5}?

		All Real Numbers
		x > 0
		x < 0
		x > 1

18. Suppose the population of a town is 100,000 in 1999. The population increases at a rate of 4.5% every year. What will be the population of the town in 2005? Round your answer to the nearest whole number.

19. You invest $1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the account after 7 years? Round your answer to the nearest whole number.

20. The parent function of the following graph is f(x) = 2^x. What is the equation of the following graph?

graph through the points (negative 1, 1 and one-half), (0, 3), (1, 6) and has a horizontal asymptote at y = 0

21. Determine if the equation y = (0.9)^x represents exponential growth or decay.

22. This is the graph of f(x) = log(x).

Imported Asset

		TRUE
		FALSE

23. What affect does the “a” value have on the function f(x) = log(x)?

		The “a” value reflects the graph across the y-axis.
		The “a” value moves the function up or down.
		The “a” value moves the function to the left or right.
		The “a” value stretches the function vertically by a factor of \|a\|.

24. The following is the graph of f(x) = 3log(x).

graph through the points (one-tenth, negative 4), (1, 0), (10, 4) and has a vertical asymptote at x = 0

TRUE

FALSE

25. The following is the graph of f(x) = log(x – 4).

graph through the points (4 and one-tenth, 1), (5, 0), (14, negative 1) and has a vertical asymptote at x = 4

TRUE

FALSE

26. What is the domain of f(x) = log(x + 4)?

		All Real Numbers
		x > -4
		x > 4
		x > 0

27. What is the domain of f(x) = log(x + 1) + 4?

		All Real Numbers
		x > 1
		x > -1
		x > 4

28. The solution to x = log₃15 is approximately 2.46.

		TRUE
		FALSE

29. Solve x = log₂100. Round your answer to the nearest hundredth.

30. Solve 8^x = 60. Round your answer to the nearest hundredth.

31. Solve 7log₉(x + 8) = 7.

32. What is the approximate solution of the function at x = -2? graph through the points (negative 2 and nine-tenths, 1), (negative 2, 2), (7, 3) and has a vertical asymptote at x = negative 3

		-2
		2
		2.5
		-1.5

33. Write x⁶ = 100 as a logarithmic function.

34. Write 2log₃5 + log₃2 as a single logarithm.

35. What is the transformation that occurs to the equation y = 2^x if it changes to y = 2^{x + 8} + 4?

36. What is the range of the function y = 2^{x + 3} + 2?

37. You invest $1, 500 in an account that has an annual interest rate of 3.4%, compounded continuously. How much money will be in the account after 6 years? Round your answer to the nearest whole number.

38. What affect does h = -4 have on the function f(x) = log(x)?

		The graph moves 4 units to the right.
		The graph moves 4 units to up.
		The graph moves 4 units to the left.
		The graph is stretched by a factor of \|-4\|.

39. What is the domain of f(x) = log(x + 3) – 4?

40. The solution to (2.4)^x = 9 is approximately 3.75.

		TRUE
		FALSE

41. Solve 3^x+1 = 500. Round your answer to the nearest hundredth.

4.06 Exponential and Logarithmic Functions Exam

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